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20444423032 = 231110314811523
BaseRepresentation
bin10011000010100101…
…010010001101111000
31221202210210022001001
4103002211102031320
5313332233014112
613220402534344
71322426504605
oct230245221570
957683708031
1020444423032
118741386690
123b669673b4
131c0a7a1047
14dbd3316ac
157e9ca6c57
hex4c2952378

20444423032 has 64 divisors (see below), whose sum is σ = 42280392960. Its totient is φ = 9190444800.

The previous prime is 20444423017. The next prime is 20444423033. The reversal of 20444423032 is 23032444402.

It is a happy number.

It is a super-2 number, since 2×204444230322 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20444423033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13423023 + ... + 13424545.

It is an arithmetic number, because the mean of its divisors is an integer number (660631140).

Almost surely, 220444423032 is an apocalyptic number.

20444423032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20444423032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21140196480).

20444423032 is an abundant number, since it is smaller than the sum of its proper divisors (21835969928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20444423032 is a wasteful number, since it uses less digits than its factorization.

20444423032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 20444423032 its reverse (23032444402), we get a palindrome (43476867434).

The spelling of 20444423032 in words is "twenty billion, four hundred forty-four million, four hundred twenty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 103 206 412 824 1133 1481 1523 2266 2962 3046 4532 5924 6092 9064 11848 12184 16291 16753 32582 33506 65164 67012 130328 134024 152543 156869 305086 313738 610172 627476 1220344 1254952 1677973 1725559 2255563 3355946 3451118 4511126 6711892 6902236 9022252 13423784 13804472 18044504 24811193 49622386 99244772 198489544 232322989 464645978 929291956 1858583912 2555552879 5111105758 10222211516 20444423032